Answer:
V = 34,13*π cubic units
Step-by-step explanation: See Annex
We find the common points of the two curves, solving the system of equations:
y² = 2*x x = 2*y ⇒ y = x/2
(x/2)² = 2*x
x²/4 = 2*x
x = 2*4 x = 8 and y = 8/2 y = 4
Then point P ( 8 ; 4 )
The other point Q is Q ( 0; 0)
From these two points, we get the integration limits for dy ( 0 , 4 )are the integration limits.
Now with the help of geogebra we have: In the annex segment ABCD is dy then
V = π *∫₀⁴ (R² - r² ) *dy = π *∫₀⁴ (2*y)² - (y²/2)² dy = π * ∫₀⁴ [(4y²) - y⁴/4 ] dy
V = π * [(4/3)y³ - (1/20)y⁵] |₀⁴
V = π * [ (4/3)*4³ - 0 - 1/20)*1024 + 0 )
V = π * [256/3 - 51,20]
V = 34,13*π cubic units
Hello!
In order to find the cost of one pound of peanuts, we need to find 60% of two dollars. To do that, we convert 60% to a decimal, then multiply that to the cost of cashews, which is two dollars.
60 / 100 = 0.60
0.60 x $2.00 = $1.20
Therefore, the cost of one pound of peanuts is $1.20.
The cost of two pounds of peanuts can be found by multiply the cost of one pound of peanuts by two. Then, we add the cost of one pound of cashews, which is two dollars.
$1.20 · 2 = $2.40
$2.40 + $2.00 = $4.40
Therefore, the total cost of two pounds of peanuts and one pound of cashews is $4.40.
Question 1: $1.20
Question 2: $4.40
Answer: 14x^2-93xy+60y^2 Hope that helps!
Step-by-step explanation:
1. Expand by distributing terms
(20x-12y)(x-4y)-(3x-4y)(2x+3y)
2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd
20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)
3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd
20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)
4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2
5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)
6. Simplify.
And your answer would be 14x^2-93xy+60y^2
Answer:
Step-by-step explanation:
1) commutative
2) distributive
3) associative
4) inverse property
5)
6) identity property
7) identity property
8) multiplicative inverse
9) distributive
10)
11) x+n
12) 10(x+1)
13) (9p)m
14) 1/3(1+1/3)
(1/3).(1) +(1/3).(1/3)
15) (x+2)+7
16) 1/4
17) 1
18) -9
19) 0
20) -0.12
4 hours? i may be wrong
i did - 60 * 15
seems about right, since 50% would be 7.5 hours?
